%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET168-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:31:43 PM UTC 2025
% Result : Unsatisfiable 4.77s 0.96s
% Output : CNFRefutation 4.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_members_of_union3_1)
% Comments :
%------------------------------------------------------------------------------
cnf(112,plain,
member(x,z),
inference(cnf,[status(esa)],[prove_members_of_union3_1]) ).
cnf(l0,plain,
member(x,z),
inference(instantiation,[status(thm)],[112]) ).
cnf(15,plain,
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
inference(cnf,[status(esa)],[cartesian_product3]) ).
cnf(l1,plain,
( ~ member(x,intersection(complement(y),complement(z)))
| ~ member(x,z)
| member(ordered_pair(x,x),cross_product(intersection(complement(y),complement(z)),z)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l2,plain,
( ~ member(x,complement(z))
| ~ member(ordered_pair(x,x),cross_product(intersection(complement(y),complement(z)),z))
| member(ordered_pair(x,ordered_pair(x,x)),cross_product(complement(z),cross_product(intersection(complement(y),complement(z)),z))) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(13,plain,
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
inference(cnf,[status(esa)],[cartesian_product1]) ).
cnf(l3,plain,
( ~ member(ordered_pair(x,ordered_pair(x,x)),cross_product(complement(z),cross_product(intersection(complement(y),complement(z)),z)))
| member(x,complement(z)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(23,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement1]) ).
cnf(l5,plain,
( ~ member(x,z)
| ~ member(x,complement(z)) ),
inference(instantiation,[status(thm)],[23]) ).
cnf(21,plain,
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf,[status(esa)],[intersection2]) ).
cnf(l8,plain,
( ~ member(x,intersection(complement(y),complement(z)))
| member(x,complement(z)) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l10,plain,
( ~ member(ordered_pair(x,x),cross_product(intersection(complement(y),complement(z)),z))
| member(x,intersection(complement(y),complement(z))) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(24,plain,
( ~ member(X0,universal_class)
| member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[complement2]) ).
cnf(l23,plain,
( ~ member(x,universal_class)
| member(x,intersection(complement(y),complement(z)))
| member(x,complement(intersection(complement(y),complement(z)))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(0,plain,
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf,[status(esa)],[subclass_members]) ).
cnf(l26,plain,
( ~ subclass(z,universal_class)
| ~ member(x,z)
| member(x,universal_class) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
subclass(X0,universal_class),
inference(cnf,[status(esa)],[class_elements_are_sets]) ).
cnf(l27,plain,
subclass(z,universal_class),
inference(instantiation,[status(thm)],[3]) ).
cnf(25,plain,
complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf,[status(esa)],[union]) ).
cnf(l33,plain,
complement(intersection(complement(y),complement(z))) = union(y,z),
inference(instantiation,[status(thm)],[25]) ).
cnf(113,plain,
~ member(x,union(y,z)),
inference(cnf,[status(esa)],[prove_members_of_union3_2]) ).
cnf(l32,plain,
~ member(x,union(y,z)),
inference(instantiation,[status(thm)],[113]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l8,l10,l23,l26,l27,l33,l32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET168-6 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 20:16:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.36 % launching worker at depth: 10
% 1.65/0.55 % launching worker at depth: 11
% 4.77/0.96 % SZS status Theorem for theBenchmark
% 4.77/0.96 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------